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What is the Least Common Multiple of 1954 and 1973?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1954 and 1973 is 3855242.

LCM(1954,1973) = 3855242

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Least Common Multiple of 1954 and 1973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1954 and 1973, than apply into the LCM equation.

GCF(1954,1973) = 1
LCM(1954,1973) = ( 1954 × 1973) / 1
LCM(1954,1973) = 3855242 / 1
LCM(1954,1973) = 3855242

Least Common Multiple (LCM) of 1954 and 1973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1954 and 1973. First we will calculate the prime factors of 1954 and 1973.

Prime Factorization of 1954

Prime factors of 1954 are 2, 977. Prime factorization of 1954 in exponential form is:

1954 = 21 × 9771

Prime Factorization of 1973

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 1954 and 1973.

LCM(1954,1973) = 21 × 9771 × 19731
LCM(1954,1973) = 3855242